Boundary limitation of wave numbers in Taylor-vortex flow

Linek, Marcus; Ahlers, Guenter

doi:10.1103/physreve.58.3168

Cited by 9 publications

(8 citation statements)

References 34 publications

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“…J.A .Cole [7] has found that the Taylor number for the onset of wavy vortex flow increases considerably as the annulus height is reduced. M. Linek et al [8] have presented experimental results, which demonstrate that Taylor-system terminated at one end by a liquid-air interface has a band of solutions, which is narrower than the Eckhaus-stable band of the system with rigid nonrotating ends. A. Mahamdia et al [9,10] have found that the appearance of Taylor vortices does not depend on the fluid height and the appearance of wavy mode is delayed when the aspect ratio decreases .…”

Section: Introductionmentioning

confidence: 99%

Immiscible Fluids in Cylindrical Taylor Couette System

Merabet¹,

Mahamdia²,

Mokhtari³

et al. 2019

Topical Problems of Fluid Mechanics 2019

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In the present work, we investigate experimentally the development of hydrodynamic instability phenomena of immiscible liquids flow with free surface between concentric cylinders when the outer cylinder is fixed and the inner one rotates. The combined effect of the free surface and the aspect ratio is studied for a single fluid flow and for two fluids flow. The onset of the Taylor vortex (T c1) is not affected for both studied cases. Its value remains unchanged T c1 = 41. The critical speed for the appearance of the wave instability T c2 of the heavy fluid flow is found to be very sensitive to the presence of the free surface. Increasing the aspect ratio delays the appearance of this instability. However, the effect of the free surface is removed for large aspect ratios and the flow becomes stable. When the gap is partially filled with two immiscible fluids the variation of aspect ratio of light fluid Γ HF and heavy fluid Γ LF can stabilize or destabilize the appearance of the wave instability.

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Section: Introductionmentioning

confidence: 99%

Immiscible Fluids in Cylindrical Taylor Couette System

Merabet¹,

Mahamdia²,

Mokhtari³

et al. 2019

Topical Problems of Fluid Mechanics 2019

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“…Furthermore, the flow behavior in the short cylinders has been the subject of numerous theoretical, experimental and numerical studies (Hall, (1982); Lücke et al, (1984); Aitta et al, (1985); Heinrichs et al,(1986); Pfister et al, (1988); Nakamura et al,(1990Nakamura et al,( , 1989; Cliffe et al, (1992); Toya et al, (1994); Linek and Ahlers, (1998); Mullin et al, (2002); Czarny et al, (2002); Furusawa et al, (2002); , Lopez and Marques, (2003); Watanabe and Toya, 2012)). Recently, Deng et al, (2009) presented an experimental and numerical study on the onset of Taylor vortices in short cylinders with an aspect ratio of 5.17.…”

Section: Introductionmentioning

confidence: 99%

On the Onset of Taylor Vortices in Finite-Length Cavity Subject to a Radial Oscillation Motion

Lalaoua

Bouabdallah

2016

JAFM

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Taylor-Couette flow (TCF) is an important template for studying various mechanisms of the laminarturbulent transition of rotating fluid in enclosed cavity. It is also relevant to engineering applications like bearings, fluid mixing and filtration. Furthermore, this flow system is of potential importance for development of bio-separators employing Taylor vortices for enhancement of mass transfer. The fluid flowing in the annular gap between two rotating cylinders has been used as paradigm for the hydrodynamic stability theory and the transition to turbulence. In this paper, the fluid in an annulus between short concentric cylinders is investigated numerically for a three dimensional viscous and incompressible flow. The inner cylinder rotates freely about a vertical axis through its centre while the outer cylinder is held stationary and oscillating radially. The main purpose is to examine the effect of a pulsatile motion of the outer cylinder on the onset of Taylor vortices in the vicinity of the threshold of transition, i.e., from the laminar Couette flow to the occurrence of Taylor vortex flow. The numerical results obtained here show significant topological changes on the Taylor vortices. In addition, the active control deeply affects the occurrence of the first instability. It is established that the appearance of the Taylor vortex flow is then substantially delayed with respect to the classical case; flow without control.

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“…Similarly in the symmetric system with both stationary end walls [14], Nakamura et al [15] and Toya et al [16] found normal, secondary and anomalous flow mods in the asymmetric system and carried out a systematic research to investigate the transition processes during the quasi-steady decrease of the Reynolds number. Linek et al [17] studied the developing processes of the asymmetric system. Following these studies, Watanabe et al [18] numerically investigated the asymmetric system at very small aspect ratio (ratio of the cylinder length to the gap width between two cylinders) below 4.2, and found a reasonable coincidence with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Development and Flow Modes of Vertical Taylor-Couette System with Free Surface

Watanabe¹,

Toya²,

Hara³

2014

WJM

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We have numerically and experimentally investigated the flow modes of Taylor-Couette system consisting of coaxial two cylinders with vertical axes. The inner cylinder rotates and the outer cylinder and the bottom end of the cylinders remain stationary. The upper top boundary is the free surface of the working liquid between the inner and outer cylinders and it contacts with the air. While this flow appears in fluid machinery and chemical reactors and includes industrial interests, it also contains problems of fluid mechanics, which is about the behavior of the free surface in the rotating field. In this paper, we concretely show the developments of the one cell mode flow and the three cell mode flow at a small aspect ratio. We also represent the bifurcation diagram of the flow at the moderate aspect ratio about 5.5. In the numerical simulation, the flow is rest in the initial state, and the inner cylinder is linearly or suddenly accelerated to attain a flow with a prescribed Reynolds number. When the acceleration of the inner cylinder is high, an imperfect bifurcation occurs and the flows of the secondary modes emerge. At high Reynolds numbers, the flow first has many vortices and then some of the vortices collapse and the final stable flow arises. The loci of the normal five cell mode, the anomalous six cell mode and the secondary seven cell mode are determined.

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Boundary limitation of wave numbers in Taylor-vortex flow

Cited by 9 publications

References 34 publications

Immiscible Fluids in Cylindrical Taylor Couette System

Immiscible Fluids in Cylindrical Taylor Couette System

On the Onset of Taylor Vortices in Finite-Length Cavity Subject to a Radial Oscillation Motion

Development and Flow Modes of Vertical Taylor-Couette System with Free Surface

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